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402422020 = 2257111320101
BaseRepresentation
bin10111111111000…
…111100100000100
31001001020011020021
4113333013210010
51311010001040
6103533144524
712654350020
oct2777074404
91031204207
10402422020
1119717a690
12b292b144
13654abb50
143b635380
15254e124a
hex17fc7904

402422020 has 96 divisors (see below), whose sum is σ = 1134717696. Its totient is φ = 115776000.

The previous prime is 402421997. The next prime is 402422023. The reversal of 402422020 is 20224204.

It is a junction number, because it is equal to n+sod(n) for n = 402421985 and 402422003.

It is not an unprimeable number, because it can be changed into a prime (402422023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9970 + ... + 30070.

It is an arithmetic number, because the mean of its divisors is an integer number (11819976).

Almost surely, 2402422020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402422020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567358848).

402422020 is an abundant number, since it is smaller than the sum of its proper divisors (732295676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

402422020 is a wasteful number, since it uses less digits than its factorization.

402422020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20141 (or 20139 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 402422020 is about 20060.4591173781. The cubic root of 402422020 is about 738.2904412247.

Adding to 402422020 its reverse (20224204), we get a palindrome (422646224).

The spelling of 402422020 in words is "four hundred two million, four hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 20101 40202 80404 100505 140707 201010 221111 261313 281414 402020 442222 522626 562828 703535 884444 1045252 1105555 1306565 1407070 1547777 1829191 2211110 2613130 2814140 2874443 3095554 3658382 4422220 5226260 5748886 6191108 7316764 7738885 9145955 11497772 14372215 15477770 18291910 20121101 28744430 30955540 36583820 40242202 57488860 80484404 100605505 201211010 402422020